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Finding the Third Proportional to 39,762 and 84,276

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Solution

The third proportional to 39,762 and 84,276 is: 178,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762 : 84,276 = 84,276 : x
  2. Step 2: Convert to fraction form
    39,762/84,276 = 84,276/x
  3. Step 3: Cross multiply
    39,762x = 84,276 × 84,276
  4. Step 4: Simplify right side
    39,762x = 7,102,444,176
  5. Step 5: Solve for x
    x = 7,102,444,176/39,762
  6. Step 6: Final answer
    x = 178,623.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.